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Simplifying 4a + 14 = 17a + -12 Reorder the terms: 14 + 4a = 17a + -12 Reorder the terms: 14 + 4a = -12 + 17a Solving 14 + 4a = -12 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 14 + 4a + -17a = -12 + 17a + -17a Combine like terms: 4a + -17a = -13a 14 + -13a = -12 + 17a + -17a Combine like terms: 17a + -17a = 0 14 + -13a = -12 + 0 14 + -13a = -12 Add '-14' to each side of the equation. 14 + -14 + -13a = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -13a = -12 + -14 -13a = -12 + -14 Combine like terms: -12 + -14 = -26 -13a = -26 Divide each side by '-13'. a = 2 Simplifying a = 2
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